Question

the side of a rectangle are in the ratio 2:3. if the perimeter of the rectangle is 48cm ,find its dimensions ​

Answer 1

Step-by-step explanation:

Let the ratio terms be X.

= 2x : 3x

The perimeter of the rectangle = 48 cm

The perimeter of the rectangle = 2(l+b)

=2(2x+3x) =48 cm

= 2(5x) = 48 cm

= 5x = 48/2

= 5x = 24

=x = 24/5

=x = 4.8

= 3x = 3 * 4.8 = 14.4

=2x = 2 * 4.8 = 9.6

So ,Rest sides of the rectangle are 14.4 and 9.6

Answer 2

Answer:

Hence, value of length and breadth of the rectangle will be

$Length =2x (2 \times 4.8) = 9.6\:cm\\Breadth= 3x = (3\times 4.8) = 14.4\:cm$

Step-by-step explanation:

In context to the question asked,

We have to determine the value of length and breadth of the rectangle.

As per data given in the question,

It is given that,

Side of rectangle are in ratio of 2 : 3

Perimeter of rectangle = 48 cm

As we know that,

Perimeter of rectangle can be determined by using the formula $Perimeter = 2 (l +b)$

So, let the length and breadth of rectangle are 2x and 3x respectively.

So, in order to determine the value of length and breadth we will put the assumed value of length and breadth of rectangle in above formula.

Thus we will get,

$Perimeter = 2 (3x+2x)\\=>48= 2 \times 5x\\=>10x = 48\\=>x = \frac{48}{10} = 4.8$

So, value of length and breadth of the rectangle will be

$Length =2x (2 \times 4.8) = 9.6\:cm\\Breadth= 3x = (3\times 4.8) = 14.4\:cm$